Pregunta
a ) \( 6\left(\frac{1}{2}+\frac{1}{3}\right) \)
Ask by Griffiths Estrada. in South Africa
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
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The result is 5.
Solución
Let's evaluate the expression step by step:
\[
6\left(\frac{1}{2} + \frac{1}{3}\right)
\]
**Step 1: Find a common denominator for the fractions inside the parentheses.**
The denominators are 2 and 3. The least common denominator (LCD) is 6.
\[
\frac{1}{2} = \frac{3}{6} \quad \text{and} \quad \frac{1}{3} = \frac{2}{6}
\]
**Step 2: Add the fractions.**
\[
\frac{3}{6} + \frac{2}{6} = \frac{5}{6}
\]
**Step 3: Multiply by 6.**
\[
6 \times \frac{5}{6} = 5
\]
**Final Answer:**
\[
5
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Extra Insights
To tackle this expression, let's first simplify the fraction within the parentheses. The least common denominator (LCD) for \( \frac{1}{2} \) and \( \frac{1}{3} \) is 6. So, we rewrite the fractions: \( \frac{1}{2} = \frac{3}{6} \) and \( \frac{1}{3} = \frac{2}{6} \). Now, adding these gives \( \frac{3}{6} + \frac{2}{6} = \frac{5}{6} \). Therefore, we now have \( 6 \times \frac{5}{6} = 5 \). That's your answer: \( 5 \). Have fun applying this in different scenarios!
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